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Bernal S D_2010.pdf - University of Plymouth

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4.2. ARCHITECTURES<br />

Scale band<br />

RF size", AWs2<br />

S2 types, Kn<br />

Band pooling, &Sc2<br />

Grid site, ANc2<br />

C2 lypes, Kc7<br />

RF si/c", A^s3<br />

S3 types, Ks2<br />

1<br />

4<br />

S2 parameters<br />

2<br />

3<br />

8<br />

12<br />

1000<br />

C2 parameters<br />

All bands: 1---8<br />

All S2 units<br />

1000<br />

S3 parameters<br />

1<br />

60<br />

"52 protarype elements- {iN^i x AW]« x Kn (4 oriemations}. Same for all scale bands.<br />

''S3 proiuiype elememn &Ns?i x ANxi x Iic2 (1000 Italures).<br />

7a/)/e ^.2.- Parameters <strong>of</strong> the 3-layer archileciure. Based i»n Serre et al. l2007c).<br />

the corresponding paramelere), and the node.s <strong>of</strong> different S2 RF sizes do not interact with each<br />

other.<br />

The number <strong>of</strong> nodes in each S2 set is 2253 for ANs2 - 4.1572 for ANs2 = 8,1098 for AA's: = 12<br />

and 758 for ANsj — 16. Bigger ANsj imply less resulting S2 units as the number <strong>of</strong> S2 units is<br />

equal to the number <strong>of</strong> CI units divided by AA'.S-T. The number<strong>of</strong> features <strong>of</strong> each RF size, A!^ is<br />

setlothciotalnumber<strong>of</strong> features in layer S2 divided by four i.e. K'^ — Ksil^- 1000/4 = 250.<br />

Each node in the networli has an associated CPT which links it with its parent nodes. Similarly,<br />

each node performs the same internal operations, shown in I'igure 4.3, which correspond to the<br />

distributed implementation <strong>of</strong> belief propagation.<br />

4.2.2 Alternative three-level architecture based on Yamane et at. (2006)<br />

The parameters <strong>of</strong> this architecture are shown in Table 4.3 and the resulting Bayesian network<br />

is iilusiraled in Figure 4.5 (only from layer S2 above, as layers SI and CI are equivalent to<br />

the previous version). This architecture was introduced to try to improve the recognition <strong>of</strong> the<br />

iranslnteil dataset <strong>of</strong> input objects. It is a variation <strong>of</strong> the 3-level HMAX model (Serre et al.<br />

2007c). with a reduced pooling range (RF size) at the top layers C2 and S3, More specifically,<br />

C2 prototypes do not pool over the whole set <strong>of</strong> S2 units, but over a smaller range (50% <strong>of</strong> the S2<br />

map length), which leads to a 3-by-3 C2 grid <strong>of</strong> units. This then allows the S3 RF size to be set<br />

151<br />

4<br />

16

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